分形集的各种维数的计算一直是分形几何研究的重点。
The computation of the various dimensions of fractal sets is very important in fractal geometry research.
完备度量空间上迭代函数系统的不变集性质及测度的维数是分形几何研究的主要对象。
The property of the invariant set and measure's dimension of the IFS are main objects in the studying of fractal geometry.
高师“初等几何研究”课程的教学面临诸多问题，其教学内容与编排体系尤需大幅度调整。
In higher normal universities, the teaching of the course "Research on Elementary Geometry" faces many problems. Its teaching contents and arranging system needs to be adjusted to a great extent.
经典微分几何研究三维欧氏空间中曲线曲面理论，其最具有特色的研究是主曲率函数满足某些关系的魏因加吞曲面。
In the classical differential geometry which deals with the theory of curves and surfaces of three dimensional Euclidean space, the most distinctive study is the Weingarten surface.
描述了通过X 射线衍射分析研究的其几何异构体dysamideC（2）的船形。
The boat conformation of its geometric isomer, dysamide C (2) studied by X-ray diffraction analysis is described.
这就是说，研究环圈量子重力学的理论学家认为无需先作出时空的几何假设，便能表述自然定律。
This means that theorists working on it believe the laws of nature can be stated without making any prior assumptions about the geometry of space and time.
为了探明这一问题，这两位研究者给208位大学生做了一连串的电车测试并以四探针测试仪那样的精细程度检测他们反应的实用主义程度几何。
To find out, the two researchers gave 208 undergraduates a battery of trolleyological tests and measured, on a four-point scale, how utilitarian their responses were.
通过调整宇宙的几何形状以及暗能量的性质，研究者们将宇宙图像校正成双星对都确实是指向所有的方向，正如所预期的那样。
By tweaking the universe's geometry and the nature of its dark energy, the researchers corrected the picture until the galactic couples were indeed pointed in all directions, as would be expected.
分形几何是研究无限复杂但具有一定意义下自相似图形和结构的几何学。
Divides the shape geometry is the research infinite is complex but has under the certain significance from the similar figures and the structure geometry.
这个意义上，这实际上是“发现”，曾几何时，它早已存在于斯克里普斯海洋学研究所鱼类标本馆。
It was actually "discovered" long ago in the sense that museum specimens of the fish existed at Scripps Oceanographic Institute.
为了测试蜜蜂是否识数，研究小组在每个盒子上用2到6个几何图形作为不同盒子的代号。
To test the bees' numeracy, the team marked each chamber with a "room number" consisting of 2 to 6 shapes.
这套程序由康奈尔大学的研究人员编制而成，在没有丝毫物理或几何知识帮助的情况下推断自然定律。
Developed by Cornell researchers, the program deduced the natural laws without a shred of knowledge about physics or geometry.
重要的是，布赖农的研究小组发现，就像人一样，展示给恒河猴的两组几何形状之间的大小越接近，猴子们也越容易犯错误。
Importantly, Brannon's team found that monkeys, like humans, make more errors when the ratio between the two groups is smaller.
他们还讨论了识别模式的应用广泛，包括了激光器的研究动态行为的机械零件的使用范围，并分形几何。
They also discuss a wide range of applications, including the use of lasers for studying dynamic behavior of mechanical components, and fractal geometry for recognizing patterns.
几何的研究是训练的成功的工程师、科学家、建筑师和草拟的重要组成部分。
A study of geometry is an essential part of the training of the successful engineer, scientist, architect, and draftsman.
本文研究反向工程中曲面重构的几何连续性问题。
This thesis studies the problems of geometric continuity about surfaces reconstruction in Reverse Engineering.
采用几何光学对三维发光体的透镜成像问题进行了研究。
The image formation of luminor body by lens is studied using geometrical optics.
非线性系统的微分几何理论是目前研究非线性系统控制的一个重要方法。
Differential geometry method is an important approach in the researches of control of nonlinear system.
他的研究兴趣包括图像和多维信号处理，计算图像，小波和多尺度几何分析，可视化信息的表述。
His research interests include image and multi-dimensional signal processing, computational imaging, wavelets and multiscale geometric analysis, and visual information representation.
他研究的几何在数学上叫做(李代数)E8结构。这个结构在1887年首先被挪威数学家SophusLie发现。
The geometry he has been studying is that of a structure known to mathematicians as E8, which was first recognised in 1887 by Sophus Lie, a Norwegian mathematician.
应用分形几何理论，研究了推土机性能分布的分形特征。
The fractal characteristic of the bulldozer performance distribution is studied with the fractal theory.
在几何学本身的研究中，重要性和恰当性是可见的。
The importance and relevance can be seen in the study of geometry itself.
本文研究NURBS曲面重构中的几何连续性问题。
This thesis studies the problems of geometric continuity in NURBS surfaces reconstruction.
最后，本文在研究结论和发现的基础上，对初中平面几何教学改革提出了两条切实可行的建议。
At the end of the dissertation, the researcher offers two proposals concerning Geometry teaching on the basis of the research findings.
一天，古希腊著名的数学家、力学家阿基米德正蹲着专心致志地研究画在地上的几何图形。
One day, the famous ancient Greek mathematician Archimedes are being squatting dedicated mechanics to study the paintings on the ground geometry.
本文应用画法几何投影变换方法来研究瞬时螺旋运动有关构造、位移等参数之间的几何关系。
In this paper, the method of geometric transformation is used to search the relationship between the parameters of construction and the displacement of the flop.
雷恩·第斯卡兹发现一种用代数方法研究几何问题的方法，称为解析几何学。
Rene Descartes found a way to study geometric problems by methods of algebra called analytic geometry.
本文研究和开发了一个变分几何的参数化造型系统(VGPDA)。
In this paper, a variational geometry based parametric modelling System (VGPDA) is explored and developed.
针对CAD中的几何模拟过程进行了研究。
In this paper, the geometric CAD modelling has been researched.
针对CAD中的几何模拟过程进行了研究。
In this paper, the geometric CAD modelling has been researched.
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